Braid or Mono for convential reels?

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I am having way to much fun learning to cast from shore with my new conventional reel. Ironically, I have not found it difficult to learn.

I am using 20lb mono. I know from experience that with spinning reels, the smaller line diameter of braid lines, greatly increase casting distance. Is the same true for conventional reels? I.e. Does thiner line diameter equal to longer casts with conventional reels? Or, is line diameter not that relevant on conventional reels?

I ask because every piece of literature that I have read on conventional reels (in the surfcasting applications) make reference to thick lines lines.